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Search: id:A071357
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| A071357 |
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Expansion of (1-4*x-(1-2*x)*sqrt(1-4*x-4*x^2))/(8*x^3). |
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+0
3
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| 0, 1, 4, 16, 64, 260, 1072, 4480, 18944, 80928, 348800, 1515008, 6625280, 29147456, 128918272, 572928000, 2557100032, 11457170944, 51514963968, 232370167808, 1051235287040, 4768568354816, 21684663148544, 98835356778496, 451433970008064
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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D. Merlini, D. G. Rogers, R. Sprugnoli and M. C. Verri, On some alternative characterizations of Riordan arrays, Canad. J. Math., 49 (1997), 301-320.
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LINKS
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D. Merlini, D. G. Rogers, R. Sprugnoli and M. C. Verri, On some alternative characterizations of Riordan arrays, Canad. J. Math., 49 (1997), 301-320.
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FORMULA
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Binomial transform is A065096. - Paul Barry (pbarry(AT)wit.ie), Sep 16 2006
a(n)=(1/pi)*Int(x^n*sqrt(-x^2+4x+4)*(x-2)/8,x,2-2sqrt(2),2+2sqrt(2)); - Paul Barry (pbarry(AT)wit.ie), Sep 16 2006
a(n)=sum{k=0..n, 2^(n-k)*C(n,k)*2^((k-1)/2)C((k-1)/2+1)(1-(-1)^k)/2}, where C(n)=A000108(n); - Paul Barry (pbarry(AT)wit.ie), Sep 16 2006
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CROSSREFS
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Sequence in context: A069029 A083589 A098590 this_sequence A113995 A097679 A005401
Adjacent sequences: A071354 A071355 A071356 this_sequence A071358 A071359 A071360
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KEYWORD
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nonn
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AUTHOR
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njas, Jun 12 2002
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